- #1

- 336

- 0

## Main Question or Discussion Point

If you have an ice cube in a full glass of water when the ice cube melts will the water flow over, be the same, or decrease? My book says the answer is stay the same, but I can't figure out why. Ice was less dense than water which is why is floats. Using this equation:

B = ρVg which when solved for V becomes

B/(ρg) = V

I would think the buoyancy would stay the same as the ice cube melts so the density ρ increases as the ice melts, so if you increase the denominator, the whole number decreases. So the water should decrease, not stay the same, unless the increase in density is compensated for by an increase in Buoyancy.

B = ρVg which when solved for V becomes

B/(ρg) = V

I would think the buoyancy would stay the same as the ice cube melts so the density ρ increases as the ice melts, so if you increase the denominator, the whole number decreases. So the water should decrease, not stay the same, unless the increase in density is compensated for by an increase in Buoyancy.